Question

A person leaves home at 8:00 a.m. and drives to a destination at a rate of 40 mph. The person returns at a rate of 25 mph and arrives at 2:30 p.m. How far was the destination?

Answer 1

recall your d = rt. distance = rate * time.

the person left at 8:00, driving at 40mph, it covered a distance of say d miles, then came back at 2:30, from 8am to 2:30 pm is 6½ hours or 13/2 hours, and it again covered the same d miles back.

if going took say t hours, then coming back must have taken the slack from 6½ and t, namely (13/2) - t.

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